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Finding the Fourth Proportional to 338,113.20, 507,169.80 and 307,009.20

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Solution

The fourth proportional to 338,113.20, 507,169.80 and 307,009.20 is: 460,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,113.20 : 507,169.80 = 307,009.20 : x
  2. Step 2: Convert to fraction form
    338,113.20/507,169.80 = 307,009.20/x
  3. Step 3: Cross multiply
    338,113.20x = 507,169.80 × 307,009.20
  4. Step 4: Simplify right side
    338,113.20x = 155,705,794,562.16
  5. Step 5: Solve for x
    x = 155,705,794,562.16/338,113.20
  6. Step 6: Final answer
    x = 460,513.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.